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Finding the Fourth Proportional to 164.53, 245.06 and 155.86

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Solution

The fourth proportional to 164.53, 245.06 and 155.86 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 245.06 = 155.86 : x
  2. Step 2: Convert to fraction form
    164.53/245.06 = 155.86/x
  3. Step 3: Cross multiply
    164.53x = 245.06 × 155.86
  4. Step 4: Simplify right side
    164.53x = 38,194.24
  5. Step 5: Solve for x
    x = 38,194.24/164.53
  6. Step 6: Final answer
    x = 232.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.